11) Give an example to show that the following can happen in a metric space: Brı...

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11) Give an example to show that the following can happen in a metric space: Brı (x1) = Br (22), x1 + x2 and ri r2. However,

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Answer 1

Answer #1

The 1st part is true for more than one metric spaces one such example is this one

But incase of R with usual metric d that is d(x,y) =|x-y| this statement is not true a thorough proof is given below

Hope it helps :-)

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11) Give an example to show that the following can happen in a metric space: Brı...

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